Question

AB pinned at A and supported by two aluminum rods (E = 10 x 103 ksi) with diameter d = 1.2 in If the rigid bar is initially vertical, determine (a) the reaction exerted at A and (b) the average normal stress in each rod when the 40-kip force is applied. 40 kip B 2 ft d=12 in E 2 ft at A 4 ft d=12 in OCD 4 ft 3 ft OEF =

Answer 1

FBD B 4oki P final position B' Aokip B 12FE E E' E →TE AE Ift laft ce Acle' Tc 3ft 3ft 3 A Ax AA Ay 3 it 7ft 11 2 Moment about A : A ACC" NAAEE' EMA=0; 40x(2+4+3) +TEX7 -TeX3=0 Ac 3 Tc – 7 TE = = 360 kip-ft 3AE 7 Act De and Ą are deflection at EBS AE = TE LEF Ac = TcLeo ACDE AEF=Aco (dia AFF E is same) from DE Ac wit TELEF/AERE 7 A/ =) TEX 2 ft Tc x 4ft T LCD ALDE 3 TE = 14Tc ; put in EqO 3 Tc - -7(145) =) Tc= - 12.13 4 kip - 56,629 kip = 360 & TE

a) Reaction at A : Efx=0; do +TE - Tc- Ax=0 Ax = 40 - 56.629 + 12.134 A x = -4.495 kip, & Fy=0; Ay=0 b Rod EF & -50.096 ksí JEF - TE 56,629 #kip edere T a AEF 1.22 - 12.134kip -10, 734 ksi Te = TED = ALD 2 x 1.22